Atkin-Lehner |
3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815d |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.210043102483E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,604585,204132602] |
[a1,a2,a3,a4,a6] |
j |
474369503399/623062845 |
j-invariant |
L |
1.1200236717509 |
L(r)(E,1)/r! |
Ω |
0.14000295880915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
915b4 |
Quadratic twists by: 61 |